# Sensitivity analysis of a resonant mass gravitational wave antenna with resonant transducer

## Abstract

It has become standard practice to apply optimum linear filter theory to the analysis of gravitational radiation detection systems. In this paper, we present an analysis of the signal-to-noise ratio (SNR) of a two-mode resonant detector consisting of a resonant antenna coupled to a resonant transducer. We also present a comparison of the results of this analysis to the performance fo the Stanford 4800-kg cryogenic gravity wave detector. The analysis given includes all Gaussian noise sources present in the system. These include mechanical and electrical dissipation noise sources as well as amplifier voltage and current noise. The procedure is partly numerical, but it is extremely efficient and allows optimization over a range of design parameters, rather than the case-by-case results provided by the usual modelling techniques.

- Authors:

- Publication Date:

- Research Org.:
- High Energy Physics Laboratory and Department of Physics, Stanford University, Stanford, California 94305

- OSTI Identifier:
- 6457585

- Resource Type:
- Journal Article

- Journal Name:
- J. Appl. Phys.; (United States)

- Additional Journal Information:
- Journal Volume: 52:6

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GRAVITATIONAL WAVE DETECTORS; ANTENNAS; COMPARATIVE EVALUATIONS; FILTERS; MATHEMATICAL MODELS; OPTIMIZATION; OSCILLATION MODES; PARAMETRIC ANALYSIS; RESONANCE; SENSITIVITY; SIGNAL-TO-NOISE RATIO; THEORETICAL DATA; TRANSDUCERS; DATA; ELECTRICAL EQUIPMENT; EQUIPMENT; INFORMATION; MEASURING INSTRUMENTS; NUMERICAL DATA; RADIATION DETECTORS; 640106* - Astrophysics & Cosmology- Cosmology

### Citation Formats

```
Michelson, P F, and Taber, R C.
```*Sensitivity analysis of a resonant mass gravitational wave antenna with resonant transducer*. United States: N. p., 1981.
Web. doi:10.1063/1.329244.

```
Michelson, P F, & Taber, R C.
```*Sensitivity analysis of a resonant mass gravitational wave antenna with resonant transducer*. United States. https://doi.org/10.1063/1.329244

```
Michelson, P F, and Taber, R C. 1981.
"Sensitivity analysis of a resonant mass gravitational wave antenna with resonant transducer". United States. https://doi.org/10.1063/1.329244.
```

```
@article{osti_6457585,
```

title = {Sensitivity analysis of a resonant mass gravitational wave antenna with resonant transducer},

author = {Michelson, P F and Taber, R C},

abstractNote = {It has become standard practice to apply optimum linear filter theory to the analysis of gravitational radiation detection systems. In this paper, we present an analysis of the signal-to-noise ratio (SNR) of a two-mode resonant detector consisting of a resonant antenna coupled to a resonant transducer. We also present a comparison of the results of this analysis to the performance fo the Stanford 4800-kg cryogenic gravity wave detector. The analysis given includes all Gaussian noise sources present in the system. These include mechanical and electrical dissipation noise sources as well as amplifier voltage and current noise. The procedure is partly numerical, but it is extremely efficient and allows optimization over a range of design parameters, rather than the case-by-case results provided by the usual modelling techniques.},

doi = {10.1063/1.329244},

url = {https://www.osti.gov/biblio/6457585},
journal = {J. Appl. Phys.; (United States)},

number = ,

volume = 52:6,

place = {United States},

year = {1981},

month = {6}

}